Is it a sign of bees in your ceiling if sticky stuff is running down all four walls and you can see very tiny black spots on the ceiling?

You should call a bug exterimator to come into your house and check. If you do have bees they can get rid of them. Another option: Flies crap on the ceiling and leave those little brown spots. If you have bees, check the exterior of your home and look for them coming and going, if so look for a nest, hit them with a wasp spray at the nest or just use caulk, silicone or other to deny them access to ceiling.